 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 11262 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3251 |
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| << Previous article | Volume 58, Issue 7 / 2023 | Next article >> |
| S.A. Kumakshev and A.M. Shmatkov, "Constraints in the Problem of Finding Optimal Trajectories for a Supersonic Non-Maneuverable Aircraft," Mech. Solids. 58 (7), 2586-2594 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
7 |
Pages |
2586-2594 |
| DOI |
10.3103/S0025654423070130 |
| Title |
Constraints in the Problem of Finding Optimal Trajectories for a Supersonic Non-Maneuverable Aircraft |
| Author(s) |
S.A. Kumakshev (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences (IPMech RAS), Moscow, Russia, kumak@ipmnet.ru)
A.M. Shmatkov |
| Abstract |
The influence of phase and other constraints on the method of searching for the trajectories
of a civil supersonic aircraft that are optimal in terms of fuel consumption is considered. Based on the
solutions found by the dynamic programming method, which take into account the numerous conditions that must be satisfied by the flight altitude, pitch angle, normal overload, aircraft speed, engine
thrust, etc., it is shown that almost all of these conditions can be ignored during the initial stage of calculations, since these constraints do not affect the optimal solutions. Therefore, one can first apply the
maximum principle and use the dynamic programming method only in those cases where a sizeable
part of the constraints turns out to be significant. |
| Keywords |
supersonic aircraft, optimal trajectory, phase constraint, dynamic programming method, maximum principle |
| Received |
14 February 2023 | Revised |
13 June 2023 | Accepted |
20 June 2023 |
| Link to Fulltext |
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